1550078481-Ordinary_Differential_Equations__Roberts_

570 Ordinary Differential Equations

d. y3(6.28) = - 3.966742E - 04 ;

e. y3(6.28) = - 4.58039 7 E- 04 ;

Exercises 10.8 Duffing's Equation

l. Y~ = Y2

y~ = -Ky1 - Py{ - Cy2 + Asinwt

1.15 days

.998 days

Exercises 10.10 Mixture Problems

Pollution in the Great Lakes

l. Pollut ion in La ke Ontario less than .3%: a. 41 years b. 13.6 years

Pollut ion Level Reduced to .25%

first

a. Lake Michigan

b. Lake Michigan

last

Lake Superior

Lake Superior

Exercises 10.11 The Restricte d Three-Body Problem

3. L 4 or L 5 would be better sites for space stations, since they are stable
   critical points. L 1 , L 2 , and L 3 are unstable critical points.